The sum of the digits of a two digit number is 11. If the digits are reversed, the new number is 45 more than the original number. Find the number.

Question

Elimination using Multiplication

Answer 1

think of your number in the form xy
x+y=11

yx=xy+45

think of xy algebraically in order to use it for next step: yx=y*10+x; xy=x*10+y

Now solve the 2 equations--this is not hard!
x+y=11
10y+x=10x+y+45

Can you do it?